Solving Inequalities Date Period - Kuta Software
Kuta Software - Infinite Algebra 2
Solving Inequalities
Solve each inequality and graph its solution. 1) 0 > 3x - 3 - 6
-2 -1 0 1 2 3 4 5 6 7 8
Name___________________________________ Date________________ Period____
2) 4x + 1 - 1 -8
-5 -4 -3 -2 -1 0
1
3) -1 2n + 4 - 5
-2 -1 0
1
2
3
4
4) -6 > 5n + 5 + 4
-7 -6 -5 -4 -3 -2 -1 0 1 2
5) 0 2n + 3n
-5 -4 -3 -2 -1 0 1 2
7) 7 < -(-k - 3) + 2
-3 -2 -1 0 1 2 3 4
9) -5(1 - 4a) > -5
-4 -3 -2 -1 0 1 2 3 4
6) 2 p - 4 p -2
-4 -3 -2 -1 0 1 2 3 4 5
8) 3 - 2(n - 4) > -1
3
4
5
6
7
8
10) -2(b + 1) + 4 < 10
-8 -7 -6 -5 -4 -3 -2 -1 0 1
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-1-
Worksheet by Kuta Software LLC
11) a - 15 > -4(-6 + 3a)
1
2
3
4
5
12) 3(6b - 1) > 18 - 3b
-1 0
1
2
3
4
5
13) 26 + m 5(-6 + 3m)
01234567
15) x + 1 + 1 + 6x > 3(x - 4) - (x - 4)
-5 -4 -3 -2 -1 0 1 2 3
17) 2(1 - 4r) < -2(r + 3) - 4
-2 -1 0
1
2
3
4
14) 20 - 2 p > -2( p + 2) + 4 p
123456789
16) -6(1 + 6x) < 6(1 - 5x)
-6 -5 -4 -3 -2 -1 0 1 2
18) -6(1 + 2x) 6(2x - 1) + 2x
-2 -1 0
1
2
3
4
19) -2(1 - 5x) > -(x + 1) - 1
-5 -4 -3 -2 -1 0 1 2 3 4 5
20) 5x - (x + 2) > -5(1 + x) + 3
-3
-2
-1
0
1
2
Critical thinking questions:
21) Write an inequality with x on both sides whose solution is x 2
22) Name one particular solution to question #20.
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-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Solving Inequalities
Solve each inequality and graph its solution. 1) 0 > 3x - 3 - 6
-2 -1 0 1 2 3 4 5 6 7 8
Name___________________________________ Date________________ Period____
2) 4x + 1 - 1 -8
-5 -4 -3 -2 -1 0
1
3) -1 2n + 4 - 5
-2 -1 0
1
2
3
4
4) -6 > 5n + 5 + 4
-7 -6 -5 -4 -3 -2 -1 0 1 2
5) 0 2n + 3n
-5 -4 -3 -2 -1 0 1 2
7) 7 < -(-k - 3) + 2
-3 -2 -1 0 1 2 3 4
9) -5(1 - 4a) > -5
-4 -3 -2 -1 0 1 2 3 4
6) 2 p - 4 p -2
-4 -3 -2 -1 0 1 2 3 4 5
8) 3 - 2(n - 4) > -1
3
4
5
6
7
8
10) -2(b + 1) + 4 < 10
-8 -7 -6 -5 -4 -3 -2 -1 0 1
?G B2k0A1X1w GKkultxah xSLoifXt1wsaRr1ed 2LzLYCq.L t WAhlulr WrZiQgDh0tJsL ArJe2s9edrLv4eWdI.T Z oMdaGdHef RwFiDtahA vI0nDf7iEn1i1t0eT sAKlvgPeibGrLaR Q2w.L
-1-
Worksheet by Kuta Software LLC
11) a - 15 > -4(-6 + 3a)
1
2
3
4
5
12) 3(6b - 1) > 18 - 3b
-1 0
1
2
3
4
5
13) 26 + m 5(-6 + 3m)
01234567
15) x + 1 + 1 + 6x > 3(x - 4) - (x - 4)
-5 -4 -3 -2 -1 0 1 2 3
17) 2(1 - 4r) < -2(r + 3) - 4
-2 -1 0
1
2
3
4
14) 20 - 2 p > -2( p + 2) + 4 p
123456789
16) -6(1 + 6x) < 6(1 - 5x)
-6 -5 -4 -3 -2 -1 0 1 2
18) -6(1 + 2x) 6(2x - 1) + 2x
-2 -1 0
1
2
3
4
19) -2(1 - 5x) > -(x + 1) - 1
-5 -4 -3 -2 -1 0 1 2 3 4 5
20) 5x - (x + 2) > -5(1 + x) + 3
-3
-2
-1
0
1
2
Critical thinking questions:
21) Write an inequality with x on both sides whose solution is x 2 Many answers. Ex: 2x x + 2
22) Name one particular solution to question #20. Any number greater than zero. Ex: 4.7
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at
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-2-
Worksheet by Kuta Software LLC
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